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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SEU381+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:53:04 PM UTC 2026

% Result   : Theorem 44.63s 6.89s
% Output   : Refutation 44.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  155 (  27 unt;   4 def)
%            Number of atoms       :  672 (  10 equ)
%            Maximal formula atoms :   15 (   4 avg)
%            Number of connectives :  893 ( 376   ~; 426   |;  65   &)
%                                         (  11 <=>;  13  =>;   0  <=;   2 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   24 (  22 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   8 con; 0-2 aty)
%            Number of variables   :  264 ( 244   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f36,axiom,
    ! [X0] :
      ( rel_str(X0)
     => ! [X1] :
          ( element(X1,powerset(the_carrier(X0)))
         => ( upper_relstr_subset(X1,X0)
          <=> ! [X2] :
                ( element(X2,the_carrier(X0))
               => ! [X3] :
                    ( element(X3,the_carrier(X0))
                   => ( ( in(X2,X1)
                        & related(X0,X2,X3) )
                     => in(X3,X1) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d20_waybel_0) ).

fof(f41,axiom,
    ! [X0] :
      ( strict_rel_str(boole_POSet(X0))
      & rel_str(boole_POSet(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).

fof(f65,axiom,
    ! [X0] :
      ( ~ empty_carrier(boole_POSet(X0))
      & strict_rel_str(boole_POSet(X0))
      & reflexive_relstr(boole_POSet(X0))
      & transitive_relstr(boole_POSet(X0))
      & antisymmetric_relstr(boole_POSet(X0))
      & with_suprema_relstr(boole_POSet(X0))
      & with_infima_relstr(boole_POSet(X0))
      & complete_relstr(boole_POSet(X0))
      & lower_bounded_relstr(boole_POSet(X0))
      & upper_bounded_relstr(boole_POSet(X0))
      & bounded_relstr(boole_POSet(X0))
      & up_complete_relstr(boole_POSet(X0))
      & join_complete_relstr(boole_POSet(X0))
      & distributive_relstr(boole_POSet(X0))
      & complemented_relstr(boole_POSet(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_waybel_1) ).

fof(f95,axiom,
    ! [X0,X1,X2] :
      ( ( ~ empty_carrier(X0)
        & reflexive_relstr(X0)
        & rel_str(X0)
        & element(X1,the_carrier(X0))
        & element(X2,the_carrier(X0)) )
     => ( related_reflexive(X0,X1,X2)
      <=> related(X0,X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r3_orders_2) ).

fof(f98,conjecture,
    ! [X0,X1] :
      ( element(X1,powerset(the_carrier(boole_POSet(X0))))
     => ( upper_relstr_subset(X1,boole_POSet(X0))
      <=> ! [X2,X3] :
            ( ( subset(X2,X3)
              & subset(X3,X0)
              & in(X2,X1) )
           => in(X3,X1) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_waybel_7) ).

fof(f99,negated_conjecture,
    ~ ! [X0,X1] :
        ( element(X1,powerset(the_carrier(boole_POSet(X0))))
       => ( upper_relstr_subset(X1,boole_POSet(X0))
        <=> ! [X2,X3] :
              ( ( subset(X2,X3)
                & subset(X3,X0)
                & in(X2,X1) )
             => in(X3,X1) ) ) ),
    inference(negated_conjecture,[status(cth)],[f98]) ).

fof(f102,axiom,
    ! [X0,X1] :
      ( element(X1,the_carrier(boole_POSet(X0)))
     => ! [X2] :
          ( element(X2,the_carrier(boole_POSet(X0)))
         => ( related_reflexive(boole_POSet(X0),X1,X2)
          <=> subset(X1,X2) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow_1) ).

fof(f103,axiom,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
    <=> subset(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).

fof(f104,axiom,
    ! [X0,X1,X2] :
      ( ( in(X0,X1)
        & element(X1,powerset(X2)) )
     => element(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).

fof(f105,axiom,
    ! [X0] : the_carrier(boole_POSet(X0)) = powerset(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_waybel_7) ).

fof(f186,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( upper_relstr_subset(X1,X0)
          <=> ! [X2] :
                ( ! [X3] :
                    ( in(X3,X1)
                    | ~ in(X2,X1)
                    | ~ related(X0,X2,X3)
                    | ~ element(X3,the_carrier(X0)) )
                | ~ element(X2,the_carrier(X0)) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(ennf_transformation,[],[f36]) ).

fof(f187,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( upper_relstr_subset(X1,X0)
          <=> ! [X2] :
                ( ! [X3] :
                    ( in(X3,X1)
                    | ~ in(X2,X1)
                    | ~ related(X0,X2,X3)
                    | ~ element(X3,the_carrier(X0)) )
                | ~ element(X2,the_carrier(X0)) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(flattening,[],[f186]) ).

fof(f213,plain,
    ! [X0,X1,X2] :
      ( ( related_reflexive(X0,X1,X2)
      <=> related(X0,X1,X2) )
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f214,plain,
    ! [X0,X1,X2] :
      ( ( related_reflexive(X0,X1,X2)
      <=> related(X0,X1,X2) )
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(flattening,[],[f213]) ).

fof(f217,plain,
    ? [X0,X1] :
      ( ( upper_relstr_subset(X1,boole_POSet(X0))
      <~> ! [X2,X3] :
            ( in(X3,X1)
            | ~ subset(X2,X3)
            | ~ subset(X3,X0)
            | ~ in(X2,X1) ) )
      & element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f218,plain,
    ? [X0,X1] :
      ( ( upper_relstr_subset(X1,boole_POSet(X0))
      <~> ! [X2,X3] :
            ( in(X3,X1)
            | ~ subset(X2,X3)
            | ~ subset(X3,X0)
            | ~ in(X2,X1) ) )
      & element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
    inference(flattening,[],[f217]) ).

fof(f222,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( related_reflexive(boole_POSet(X0),X1,X2)
          <=> subset(X1,X2) )
          | ~ element(X2,the_carrier(boole_POSet(X0))) )
      | ~ element(X1,the_carrier(boole_POSet(X0))) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f223,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ in(X0,X1)
      | ~ element(X1,powerset(X2)) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f224,plain,
    ! [X0,X1,X2] :
      ( element(X0,X2)
      | ~ in(X0,X1)
      | ~ element(X1,powerset(X2)) ),
    inference(flattening,[],[f223]) ).

fof(f252,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( upper_relstr_subset(X1,X0)
              | ? [X2] :
                  ( ? [X3] :
                      ( ~ in(X3,X1)
                      & in(X2,X1)
                      & related(X0,X2,X3)
                      & element(X3,the_carrier(X0)) )
                  & element(X2,the_carrier(X0)) ) )
            & ( ! [X2] :
                  ( ! [X3] :
                      ( in(X3,X1)
                      | ~ in(X2,X1)
                      | ~ related(X0,X2,X3)
                      | ~ element(X3,the_carrier(X0)) )
                  | ~ element(X2,the_carrier(X0)) )
              | ~ upper_relstr_subset(X1,X0) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(nnf_transformation,[],[f187]) ).

fof(f253,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( upper_relstr_subset(X1,X0)
              | ? [X2] :
                  ( ? [X3] :
                      ( ~ in(X3,X1)
                      & in(X2,X1)
                      & related(X0,X2,X3)
                      & element(X3,the_carrier(X0)) )
                  & element(X2,the_carrier(X0)) ) )
            & ( ! [X4] :
                  ( ! [X5] :
                      ( in(X5,X1)
                      | ~ in(X4,X1)
                      | ~ related(X0,X4,X5)
                      | ~ element(X5,the_carrier(X0)) )
                  | ~ element(X4,the_carrier(X0)) )
              | ~ upper_relstr_subset(X1,X0) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(rectify,[],[f252]) ).

fof(f254,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( upper_relstr_subset(X1,X0)
              | ( ~ in(sK9(X0,X1),X1)
                & in(sK8(X0,X1),X1)
                & related(X0,sK8(X0,X1),sK9(X0,X1))
                & element(sK9(X0,X1),the_carrier(X0))
                & element(sK8(X0,X1),the_carrier(X0)) ) )
            & ( ! [X4] :
                  ( ! [X5] :
                      ( in(X5,X1)
                      | ~ in(X4,X1)
                      | ~ related(X0,X4,X5)
                      | ~ element(X5,the_carrier(X0)) )
                  | ~ element(X4,the_carrier(X0)) )
              | ~ upper_relstr_subset(X1,X0) ) )
          | ~ element(X1,powerset(the_carrier(X0))) )
      | ~ rel_str(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1))],[f253]) ).

fof(f289,plain,
    ! [X0,X1,X2] :
      ( ( ( related_reflexive(X0,X1,X2)
          | ~ related(X0,X1,X2) )
        & ( related(X0,X1,X2)
          | ~ related_reflexive(X0,X1,X2) ) )
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(nnf_transformation,[],[f214]) ).

fof(f290,plain,
    ? [X0,X1] :
      ( ( ? [X2,X3] :
            ( ~ in(X3,X1)
            & subset(X2,X3)
            & subset(X3,X0)
            & in(X2,X1) )
        | ~ upper_relstr_subset(X1,boole_POSet(X0)) )
      & ( ! [X2,X3] :
            ( in(X3,X1)
            | ~ subset(X2,X3)
            | ~ subset(X3,X0)
            | ~ in(X2,X1) )
        | upper_relstr_subset(X1,boole_POSet(X0)) )
      & element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
    inference(nnf_transformation,[],[f218]) ).

fof(f291,plain,
    ? [X0,X1] :
      ( ( ? [X2,X3] :
            ( ~ in(X3,X1)
            & subset(X2,X3)
            & subset(X3,X0)
            & in(X2,X1) )
        | ~ upper_relstr_subset(X1,boole_POSet(X0)) )
      & ( ! [X2,X3] :
            ( in(X3,X1)
            | ~ subset(X2,X3)
            | ~ subset(X3,X0)
            | ~ in(X2,X1) )
        | upper_relstr_subset(X1,boole_POSet(X0)) )
      & element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
    inference(flattening,[],[f290]) ).

fof(f292,plain,
    ? [X0,X1] :
      ( ( ? [X2,X3] :
            ( ~ in(X3,X1)
            & subset(X2,X3)
            & subset(X3,X0)
            & in(X2,X1) )
        | ~ upper_relstr_subset(X1,boole_POSet(X0)) )
      & ( ! [X4,X5] :
            ( in(X5,X1)
            | ~ subset(X4,X5)
            | ~ subset(X5,X0)
            | ~ in(X4,X1) )
        | upper_relstr_subset(X1,boole_POSet(X0)) )
      & element(X1,powerset(the_carrier(boole_POSet(X0)))) ),
    inference(rectify,[],[f291]) ).

fof(f293,plain,
    ( ( ( ~ in(sK45,sK43)
        & subset(sK44,sK45)
        & subset(sK45,sK42)
        & in(sK44,sK43) )
      | ~ upper_relstr_subset(sK43,boole_POSet(sK42)) )
    & ( ! [X4,X5] :
          ( in(X5,sK43)
          | ~ subset(X4,X5)
          | ~ subset(X5,sK42)
          | ~ in(X4,sK43) )
      | upper_relstr_subset(sK43,boole_POSet(sK42)) )
    & element(sK43,powerset(the_carrier(boole_POSet(sK42)))) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK42,sK43,sK44,sK45]),skolemize(X0,sK42),skolemize(X1,sK43),skolemize(X2,sK44),skolemize(X3,sK45)],[f292]) ).

fof(f294,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( ( related_reflexive(boole_POSet(X0),X1,X2)
              | ~ subset(X1,X2) )
            & ( subset(X1,X2)
              | ~ related_reflexive(boole_POSet(X0),X1,X2) ) )
          | ~ element(X2,the_carrier(boole_POSet(X0))) )
      | ~ element(X1,the_carrier(boole_POSet(X0))) ),
    inference(nnf_transformation,[],[f222]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ( element(X0,powerset(X1))
        | ~ subset(X0,X1) )
      & ( subset(X0,X1)
        | ~ element(X0,powerset(X1)) ) ),
    inference(nnf_transformation,[],[f103]) ).

fof(f459,plain,
    ! [X0,X1,X4,X5] :
      ( in(X5,X1)
      | ~ in(X4,X1)
      | ~ related(X0,X4,X5)
      | ~ element(X5,the_carrier(X0))
      | ~ element(X4,the_carrier(X0))
      | ~ upper_relstr_subset(X1,X0)
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f460,plain,
    ! [X0,X1] :
      ( upper_relstr_subset(X1,X0)
      | element(sK8(X0,X1),the_carrier(X0))
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f461,plain,
    ! [X0,X1] :
      ( upper_relstr_subset(X1,X0)
      | element(sK9(X0,X1),the_carrier(X0))
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f462,plain,
    ! [X0,X1] :
      ( upper_relstr_subset(X1,X0)
      | related(X0,sK8(X0,X1),sK9(X0,X1))
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f463,plain,
    ! [X0,X1] :
      ( upper_relstr_subset(X1,X0)
      | in(sK8(X0,X1),X1)
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f464,plain,
    ! [X0,X1] :
      ( upper_relstr_subset(X1,X0)
      | ~ in(sK9(X0,X1),X1)
      | ~ element(X1,powerset(the_carrier(X0)))
      | ~ rel_str(X0) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f467,plain,
    ! [X0] : rel_str(boole_POSet(X0)),
    inference(cnf_transformation,[],[f41]) ).

fof(f563,plain,
    ! [X0] : reflexive_relstr(boole_POSet(X0)),
    inference(cnf_transformation,[],[f65]) ).

fof(f565,plain,
    ! [X0] : ~ empty_carrier(boole_POSet(X0)),
    inference(cnf_transformation,[],[f65]) ).

fof(f755,plain,
    ! [X2,X0,X1] :
      ( ~ related_reflexive(X0,X1,X2)
      | related(X0,X1,X2)
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f289]) ).

fof(f756,plain,
    ! [X2,X0,X1] :
      ( ~ related(X0,X1,X2)
      | related_reflexive(X0,X1,X2)
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ rel_str(X0)
      | ~ element(X1,the_carrier(X0))
      | ~ element(X2,the_carrier(X0)) ),
    inference(cnf_transformation,[],[f289]) ).

fof(f759,plain,
    element(sK43,powerset(the_carrier(boole_POSet(sK42)))),
    inference(cnf_transformation,[],[f293]) ).

fof(f760,plain,
    ! [X4,X5] :
      ( in(X5,sK43)
      | ~ subset(X4,X5)
      | ~ subset(X5,sK42)
      | ~ in(X4,sK43)
      | upper_relstr_subset(sK43,boole_POSet(sK42)) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f761,plain,
    ( in(sK44,sK43)
    | ~ upper_relstr_subset(sK43,boole_POSet(sK42)) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f762,plain,
    ( subset(sK45,sK42)
    | ~ upper_relstr_subset(sK43,boole_POSet(sK42)) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f763,plain,
    ( subset(sK44,sK45)
    | ~ upper_relstr_subset(sK43,boole_POSet(sK42)) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f764,plain,
    ( ~ in(sK45,sK43)
    | ~ upper_relstr_subset(sK43,boole_POSet(sK42)) ),
    inference(cnf_transformation,[],[f293]) ).

fof(f767,plain,
    ! [X2,X0,X1] :
      ( ~ related_reflexive(boole_POSet(X0),X1,X2)
      | subset(X1,X2)
      | ~ element(X2,the_carrier(boole_POSet(X0)))
      | ~ element(X1,the_carrier(boole_POSet(X0))) ),
    inference(cnf_transformation,[],[f294]) ).

fof(f768,plain,
    ! [X2,X0,X1] :
      ( ~ element(X2,the_carrier(boole_POSet(X0)))
      | ~ subset(X1,X2)
      | related_reflexive(boole_POSet(X0),X1,X2)
      | ~ element(X1,the_carrier(boole_POSet(X0))) ),
    inference(cnf_transformation,[],[f294]) ).

fof(f769,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ element(X0,powerset(X1)) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f770,plain,
    ! [X0,X1] :
      ( element(X0,powerset(X1))
      | ~ subset(X0,X1) ),
    inference(cnf_transformation,[],[f295]) ).

fof(f771,plain,
    ! [X2,X0,X1] :
      ( element(X0,X2)
      | ~ in(X0,X1)
      | ~ element(X1,powerset(X2)) ),
    inference(cnf_transformation,[],[f224]) ).

fof(f772,plain,
    ! [X0] : powerset(X0) = the_carrier(boole_POSet(X0)),
    inference(cnf_transformation,[],[f105]) ).

fof(f778,plain,
    ! [X0,X1] :
      ( ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
      | ~ in(sK9(X0,X1),X1)
      | upper_relstr_subset(X1,X0)
      | ~ rel_str(X0) ),
    inference(definition_unfolding,[],[f464,f772]) ).

fof(f779,plain,
    ! [X0,X1] :
      ( ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
      | in(sK8(X0,X1),X1)
      | upper_relstr_subset(X1,X0)
      | ~ rel_str(X0) ),
    inference(definition_unfolding,[],[f463,f772]) ).

fof(f780,plain,
    ! [X0,X1] :
      ( related(X0,sK8(X0,X1),sK9(X0,X1))
      | upper_relstr_subset(X1,X0)
      | ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
      | ~ rel_str(X0) ),
    inference(definition_unfolding,[],[f462,f772]) ).

fof(f781,plain,
    ! [X0,X1] :
      ( ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
      | element(sK9(X0,X1),the_carrier(X0))
      | upper_relstr_subset(X1,X0)
      | ~ rel_str(X0) ),
    inference(definition_unfolding,[],[f461,f772]) ).

fof(f782,plain,
    ! [X0,X1] :
      ( ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
      | element(sK8(X0,X1),the_carrier(X0))
      | upper_relstr_subset(X1,X0)
      | ~ rel_str(X0) ),
    inference(definition_unfolding,[],[f460,f772]) ).

fof(f783,plain,
    ! [X0,X1,X4,X5] :
      ( in(X5,X1)
      | ~ in(X4,X1)
      | ~ related(X0,X4,X5)
      | ~ element(X5,the_carrier(X0))
      | ~ element(X4,the_carrier(X0))
      | ~ upper_relstr_subset(X1,X0)
      | ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
      | ~ rel_str(X0) ),
    inference(definition_unfolding,[],[f459,f772]) ).

fof(f796,plain,
    element(sK43,the_carrier(boole_POSet(the_carrier(boole_POSet(sK42))))),
    inference(definition_unfolding,[],[f759,f772]) ).

fof(f797,plain,
    ! [X0,X1] :
      ( element(X0,the_carrier(boole_POSet(X1)))
      | ~ subset(X0,X1) ),
    inference(definition_unfolding,[],[f770,f772]) ).

fof(f798,plain,
    ! [X0,X1] :
      ( ~ element(X0,the_carrier(boole_POSet(X1)))
      | subset(X0,X1) ),
    inference(definition_unfolding,[],[f769,f772]) ).

fof(f799,plain,
    ! [X2,X0,X1] :
      ( ~ element(X1,the_carrier(boole_POSet(X2)))
      | ~ in(X0,X1)
      | element(X0,X2) ),
    inference(definition_unfolding,[],[f771,f772]) ).

fof(f801,definition,
    sF46 = boole_POSet(sK42),
    introduced(definition,[new_symbols(definition,[sF46])],[function_definition]) ).

fof(f802,plain,
    boole_POSet(sK42) = sF46,
    inference(reorient_equations,[],[f801]) ).

fof(f803,plain,
    ( ~ upper_relstr_subset(sK43,sF46)
    | ~ in(sK45,sK43) ),
    inference(definition_folding,[],[f764,f802]) ).

fof(f804,plain,
    ( ~ upper_relstr_subset(sK43,sF46)
    | subset(sK44,sK45) ),
    inference(definition_folding,[],[f763,f802]) ).

fof(f805,plain,
    ( ~ upper_relstr_subset(sK43,sF46)
    | subset(sK45,sK42) ),
    inference(definition_folding,[],[f762,f802]) ).

fof(f806,plain,
    ( ~ upper_relstr_subset(sK43,sF46)
    | in(sK44,sK43) ),
    inference(definition_folding,[],[f761,f802]) ).

fof(f807,plain,
    ! [X4,X5] :
      ( ~ subset(X5,sK42)
      | ~ subset(X4,X5)
      | in(X5,sK43)
      | ~ in(X4,sK43)
      | upper_relstr_subset(sK43,sF46) ),
    inference(definition_folding,[],[f760,f802]) ).

fof(f808,definition,
    sF47 = the_carrier(sF46),
    introduced(definition,[new_symbols(definition,[sF47])],[function_definition]) ).

fof(f809,plain,
    the_carrier(sF46) = sF47,
    inference(reorient_equations,[],[f808]) ).

fof(f810,definition,
    sF48 = boole_POSet(sF47),
    introduced(definition,[new_symbols(definition,[sF48])],[function_definition]) ).

fof(f811,plain,
    boole_POSet(sF47) = sF48,
    inference(reorient_equations,[],[f810]) ).

fof(f812,definition,
    sF49 = the_carrier(sF48),
    introduced(definition,[new_symbols(definition,[sF49])],[function_definition]) ).

fof(f813,plain,
    the_carrier(sF48) = sF49,
    inference(reorient_equations,[],[f812]) ).

fof(f814,plain,
    element(sK43,sF49),
    inference(definition_folding,[],[f796,f813,f811,f809,f802]) ).

fof(f815,plain,
    ! [X0,X1,X4,X5] :
      ( ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
      | ~ in(X4,X1)
      | ~ related(X0,X4,X5)
      | ~ element(X5,the_carrier(X0))
      | ~ upper_relstr_subset(X1,X0)
      | in(X5,X1)
      | ~ rel_str(X0) ),
    inference(forward_subsumption_resolution,[],[f783,f799]) ).

fof(f837,plain,
    rel_str(sF46),
    inference(superposition,[],[f467,f802]) ).

fof(f853,plain,
    reflexive_relstr(sF46),
    inference(superposition,[],[f563,f802]) ).

fof(f855,plain,
    ~ empty_carrier(sF46),
    inference(superposition,[],[f565,f802]) ).

fof(f1152,plain,
    ! [X0] :
      ( element(X0,the_carrier(sF46))
      | ~ subset(X0,sK42) ),
    inference(superposition,[],[f797,f802]) ).

fof(f1155,plain,
    ! [X0] :
      ( ~ subset(X0,sK42)
      | element(X0,sF47) ),
    inference(forward_demodulation,[],[f1152,f809]) ).

fof(f1168,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sF46))
      | subset(X0,sK42) ),
    inference(superposition,[],[f798,f802]) ).

fof(f1171,plain,
    ! [X0] :
      ( ~ element(X0,sF47)
      | subset(X0,sK42) ),
    inference(forward_demodulation,[],[f1168,f809]) ).

fof(f1452,plain,
    ! [X0,X1] :
      ( ~ element(X0,the_carrier(sF48))
      | ~ in(X1,X0)
      | element(X1,sF47) ),
    inference(superposition,[],[f799,f811]) ).

fof(f1453,plain,
    ! [X0,X1] :
      ( ~ element(X0,sF49)
      | ~ in(X1,X0)
      | element(X1,sF47) ),
    inference(forward_demodulation,[],[f1452,f813]) ).

fof(f1587,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | ~ in(sK9(sF46,X0),X0)
      | upper_relstr_subset(X0,sF46)
      | ~ rel_str(sF46) ),
    inference(superposition,[],[f778,f809]) ).

fof(f1593,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | ~ in(sK9(sF46,X0),X0)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_subsumption_resolution,[],[f1587,f837]) ).

fof(f1598,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sF48))
      | ~ in(sK9(sF46,X0),X0)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_demodulation,[],[f1593,f811]) ).

fof(f1600,plain,
    ! [X0] :
      ( ~ in(sK9(sF46,X0),X0)
      | ~ element(X0,sF49)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_demodulation,[],[f1598,f813]) ).

fof(f1615,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | in(sK8(sF46,X0),X0)
      | upper_relstr_subset(X0,sF46)
      | ~ rel_str(sF46) ),
    inference(superposition,[],[f779,f809]) ).

fof(f1621,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | in(sK8(sF46,X0),X0)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_subsumption_resolution,[],[f1615,f837]) ).

fof(f1626,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sF48))
      | in(sK8(sF46,X0),X0)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_demodulation,[],[f1621,f811]) ).

fof(f1628,plain,
    ! [X0] :
      ( in(sK8(sF46,X0),X0)
      | ~ element(X0,sF49)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_demodulation,[],[f1626,f813]) ).

fof(f1732,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | element(sK9(sF46,X0),sF47)
      | upper_relstr_subset(X0,sF46)
      | ~ rel_str(sF46) ),
    inference(superposition,[],[f781,f809]) ).

fof(f1738,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | element(sK9(sF46,X0),sF47)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_subsumption_resolution,[],[f1732,f837]) ).

fof(f1743,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sF48))
      | element(sK9(sF46,X0),sF47)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_demodulation,[],[f1738,f811]) ).

fof(f1745,plain,
    ! [X0] :
      ( element(sK9(sF46,X0),sF47)
      | ~ element(X0,sF49)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_demodulation,[],[f1743,f813]) ).

fof(f1768,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | element(sK8(sF46,X0),sF47)
      | upper_relstr_subset(X0,sF46)
      | ~ rel_str(sF46) ),
    inference(superposition,[],[f782,f809]) ).

fof(f1774,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | element(sK8(sF46,X0),sF47)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_subsumption_resolution,[],[f1768,f837]) ).

fof(f1779,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sF48))
      | element(sK8(sF46,X0),sF47)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_demodulation,[],[f1774,f811]) ).

fof(f1781,plain,
    ! [X0] :
      ( element(sK8(sF46,X0),sF47)
      | ~ element(X0,sF49)
      | upper_relstr_subset(X0,sF46) ),
    inference(forward_demodulation,[],[f1779,f813]) ).

fof(f2059,plain,
    ! [X0,X1] :
      ( ~ related_reflexive(sF46,X0,X1)
      | subset(X0,X1)
      | ~ element(X1,the_carrier(sF46))
      | ~ element(X0,the_carrier(sF46)) ),
    inference(superposition,[],[f767,f802]) ).

fof(f2062,plain,
    ! [X0,X1] :
      ( ~ element(X1,sF47)
      | ~ related_reflexive(sF46,X0,X1)
      | subset(X0,X1)
      | ~ element(X0,the_carrier(sF46)) ),
    inference(forward_demodulation,[],[f2059,f809]) ).

fof(f2064,plain,
    ! [X0,X1] :
      ( ~ related_reflexive(sF46,X0,X1)
      | ~ element(X1,sF47)
      | ~ element(X0,sF47)
      | subset(X0,X1) ),
    inference(forward_demodulation,[],[f2062,f809]) ).

fof(f2090,plain,
    ! [X0,X1] :
      ( ~ element(X0,the_carrier(sF46))
      | ~ subset(X1,X0)
      | related_reflexive(sF46,X1,X0)
      | ~ element(X1,the_carrier(sF46)) ),
    inference(superposition,[],[f768,f802]) ).

fof(f2093,plain,
    ! [X0,X1] :
      ( ~ element(X0,sF47)
      | ~ subset(X1,X0)
      | related_reflexive(sF46,X1,X0)
      | ~ element(X1,the_carrier(sF46)) ),
    inference(forward_demodulation,[],[f2090,f809]) ).

fof(f2096,plain,
    ! [X0,X1] :
      ( related_reflexive(sF46,X1,X0)
      | ~ element(X0,sF47)
      | ~ subset(X1,X0)
      | ~ element(X1,sF47) ),
    inference(forward_demodulation,[],[f2093,f809]) ).

fof(f2198,plain,
    ! [X0,X1] :
      ( related_reflexive(X0,sK8(X0,X1),sK9(X0,X1))
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ rel_str(X0)
      | ~ element(sK8(X0,X1),the_carrier(X0))
      | ~ element(sK9(X0,X1),the_carrier(X0))
      | upper_relstr_subset(X1,X0)
      | ~ element(X1,the_carrier(boole_POSet(the_carrier(X0))))
      | ~ rel_str(X0) ),
    inference(resolution,[],[f756,f780]) ).

fof(f2199,plain,
    ! [X0,X1] :
      ( related_reflexive(X0,sK8(X0,X1),sK9(X0,X1))
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ rel_str(X0)
      | ~ element(sK8(X0,X1),the_carrier(X0))
      | ~ element(sK9(X0,X1),the_carrier(X0))
      | upper_relstr_subset(X1,X0)
      | ~ element(X1,the_carrier(boole_POSet(the_carrier(X0)))) ),
    inference(duplicate_literal_removal,[],[f2198]) ).

fof(f2200,plain,
    ! [X0,X1] :
      ( related_reflexive(X0,sK8(X0,X1),sK9(X0,X1))
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ rel_str(X0)
      | ~ element(sK9(X0,X1),the_carrier(X0))
      | upper_relstr_subset(X1,X0)
      | ~ element(X1,the_carrier(boole_POSet(the_carrier(X0)))) ),
    inference(forward_subsumption_resolution,[],[f2199,f782]) ).

fof(f2201,plain,
    ! [X0,X1] :
      ( related_reflexive(X0,sK8(X0,X1),sK9(X0,X1))
      | empty_carrier(X0)
      | ~ reflexive_relstr(X0)
      | ~ rel_str(X0)
      | upper_relstr_subset(X1,X0)
      | ~ element(X1,the_carrier(boole_POSet(the_carrier(X0)))) ),
    inference(forward_subsumption_resolution,[],[f2200,f781]) ).

fof(f2227,plain,
    ! [X2,X0,X1] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | ~ in(X1,X0)
      | ~ related(sF46,X1,X2)
      | ~ element(X2,sF47)
      | ~ upper_relstr_subset(X0,sF46)
      | in(X2,X0)
      | ~ rel_str(sF46) ),
    inference(superposition,[],[f815,f809]) ).

fof(f2233,plain,
    ! [X2,X0,X1] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | ~ in(X1,X0)
      | ~ related(sF46,X1,X2)
      | ~ element(X2,sF47)
      | ~ upper_relstr_subset(X0,sF46)
      | in(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f2227,f837]) ).

fof(f2239,plain,
    ! [X2,X0,X1] :
      ( ~ element(X0,the_carrier(sF48))
      | ~ in(X1,X0)
      | ~ related(sF46,X1,X2)
      | ~ element(X2,sF47)
      | ~ upper_relstr_subset(X0,sF46)
      | in(X2,X0) ),
    inference(forward_demodulation,[],[f2233,f811]) ).

fof(f2241,plain,
    ! [X2,X0,X1] :
      ( ~ related(sF46,X1,X2)
      | ~ in(X1,X0)
      | ~ element(X0,sF49)
      | ~ element(X2,sF47)
      | ~ upper_relstr_subset(X0,sF46)
      | in(X2,X0) ),
    inference(forward_demodulation,[],[f2239,f813]) ).

fof(f3230,plain,
    ! [X0] :
      ( subset(sK9(sF46,X0),sK42)
      | upper_relstr_subset(X0,sF46)
      | ~ element(X0,sF49) ),
    inference(resolution,[],[f1745,f1171]) ).

fof(f3587,plain,
    ! [X0,X1] :
      ( ~ element(X0,sF47)
      | ~ subset(X1,X0)
      | ~ element(X1,sF47)
      | related(sF46,X1,X0)
      | empty_carrier(sF46)
      | ~ reflexive_relstr(sF46)
      | ~ rel_str(sF46)
      | ~ element(X1,the_carrier(sF46))
      | ~ element(X0,the_carrier(sF46)) ),
    inference(resolution,[],[f2096,f755]) ).

fof(f3590,plain,
    ! [X0,X1] :
      ( ~ element(X0,sF47)
      | ~ subset(X1,X0)
      | ~ element(X1,sF47)
      | related(sF46,X1,X0)
      | ~ reflexive_relstr(sF46)
      | ~ rel_str(sF46)
      | ~ element(X1,the_carrier(sF46))
      | ~ element(X0,the_carrier(sF46)) ),
    inference(forward_subsumption_resolution,[],[f3587,f855]) ).

fof(f3591,plain,
    ! [X0,X1] :
      ( ~ element(X0,sF47)
      | ~ subset(X1,X0)
      | ~ element(X1,sF47)
      | related(sF46,X1,X0)
      | ~ rel_str(sF46)
      | ~ element(X1,the_carrier(sF46))
      | ~ element(X0,the_carrier(sF46)) ),
    inference(forward_subsumption_resolution,[],[f3590,f853]) ).

fof(f3592,plain,
    ! [X0,X1] :
      ( ~ element(X0,sF47)
      | ~ subset(X1,X0)
      | ~ element(X1,sF47)
      | related(sF46,X1,X0)
      | ~ element(X1,the_carrier(sF46))
      | ~ element(X0,the_carrier(sF46)) ),
    inference(forward_subsumption_resolution,[],[f3591,f837]) ).

fof(f3593,plain,
    ! [X0,X1] :
      ( ~ element(X1,sF47)
      | ~ element(X0,sF47)
      | ~ subset(X1,X0)
      | ~ element(X1,sF47)
      | related(sF46,X1,X0)
      | ~ element(X0,the_carrier(sF46)) ),
    inference(forward_demodulation,[],[f3592,f809]) ).

fof(f3594,plain,
    ! [X0,X1] :
      ( ~ element(X1,sF47)
      | ~ element(X0,sF47)
      | ~ subset(X1,X0)
      | related(sF46,X1,X0)
      | ~ element(X0,the_carrier(sF46)) ),
    inference(duplicate_literal_removal,[],[f3593]) ).

fof(f3595,plain,
    ! [X0,X1] :
      ( ~ element(X0,sF47)
      | ~ element(X1,sF47)
      | ~ element(X0,sF47)
      | ~ subset(X1,X0)
      | related(sF46,X1,X0) ),
    inference(forward_demodulation,[],[f3594,f809]) ).

fof(f3596,plain,
    ! [X0,X1] :
      ( related(sF46,X1,X0)
      | ~ element(X1,sF47)
      | ~ subset(X1,X0)
      | ~ element(X0,sF47) ),
    inference(duplicate_literal_removal,[],[f3595]) ).

fof(f5492,plain,
    ! [X0] :
      ( empty_carrier(sF46)
      | ~ reflexive_relstr(sF46)
      | ~ rel_str(sF46)
      | upper_relstr_subset(X0,sF46)
      | ~ element(X0,the_carrier(boole_POSet(the_carrier(sF46))))
      | ~ element(sK9(sF46,X0),sF47)
      | ~ element(sK8(sF46,X0),sF47)
      | subset(sK8(sF46,X0),sK9(sF46,X0)) ),
    inference(resolution,[],[f2201,f2064]) ).

fof(f5494,plain,
    ! [X0] :
      ( ~ reflexive_relstr(sF46)
      | ~ rel_str(sF46)
      | upper_relstr_subset(X0,sF46)
      | ~ element(X0,the_carrier(boole_POSet(the_carrier(sF46))))
      | ~ element(sK9(sF46,X0),sF47)
      | ~ element(sK8(sF46,X0),sF47)
      | subset(sK8(sF46,X0),sK9(sF46,X0)) ),
    inference(forward_subsumption_resolution,[],[f5492,f855]) ).

fof(f5497,plain,
    ! [X0] :
      ( ~ rel_str(sF46)
      | upper_relstr_subset(X0,sF46)
      | ~ element(X0,the_carrier(boole_POSet(the_carrier(sF46))))
      | ~ element(sK9(sF46,X0),sF47)
      | ~ element(sK8(sF46,X0),sF47)
      | subset(sK8(sF46,X0),sK9(sF46,X0)) ),
    inference(forward_subsumption_resolution,[],[f5494,f853]) ).

fof(f5500,plain,
    ! [X0] :
      ( upper_relstr_subset(X0,sF46)
      | ~ element(X0,the_carrier(boole_POSet(the_carrier(sF46))))
      | ~ element(sK9(sF46,X0),sF47)
      | ~ element(sK8(sF46,X0),sF47)
      | subset(sK8(sF46,X0),sK9(sF46,X0)) ),
    inference(forward_subsumption_resolution,[],[f5497,f837]) ).

fof(f5503,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(boole_POSet(sF47)))
      | upper_relstr_subset(X0,sF46)
      | ~ element(sK9(sF46,X0),sF47)
      | ~ element(sK8(sF46,X0),sF47)
      | subset(sK8(sF46,X0),sK9(sF46,X0)) ),
    inference(forward_demodulation,[],[f5500,f809]) ).

fof(f5506,plain,
    ! [X0] :
      ( ~ element(X0,the_carrier(sF48))
      | upper_relstr_subset(X0,sF46)
      | ~ element(sK9(sF46,X0),sF47)
      | ~ element(sK8(sF46,X0),sF47)
      | subset(sK8(sF46,X0),sK9(sF46,X0)) ),
    inference(forward_demodulation,[],[f5503,f811]) ).

fof(f5509,plain,
    ! [X0] :
      ( ~ element(X0,sF49)
      | upper_relstr_subset(X0,sF46)
      | ~ element(sK9(sF46,X0),sF47)
      | ~ element(sK8(sF46,X0),sF47)
      | subset(sK8(sF46,X0),sK9(sF46,X0)) ),
    inference(forward_demodulation,[],[f5506,f813]) ).

fof(f5511,plain,
    ! [X0] :
      ( ~ element(X0,sF49)
      | upper_relstr_subset(X0,sF46)
      | ~ element(sK8(sF46,X0),sF47)
      | subset(sK8(sF46,X0),sK9(sF46,X0)) ),
    inference(forward_subsumption_resolution,[],[f5509,f1745]) ).

fof(f5512,plain,
    ! [X0] :
      ( subset(sK8(sF46,X0),sK9(sF46,X0))
      | upper_relstr_subset(X0,sF46)
      | ~ element(X0,sF49) ),
    inference(forward_subsumption_resolution,[],[f5511,f1781]) ).

fof(f8428,plain,
    ! [X0,X1] :
      ( ~ subset(X1,sK9(sF46,X0))
      | ~ element(X0,sF49)
      | upper_relstr_subset(X0,sF46)
      | in(sK9(sF46,X0),sK43)
      | ~ in(X1,sK43)
      | upper_relstr_subset(sK43,sF46) ),
    inference(resolution,[],[f3230,f807]) ).

fof(f9968,plain,
    ! [X2,X0,X1] :
      ( ~ element(X0,sF47)
      | ~ subset(X0,X1)
      | ~ element(X1,sF47)
      | ~ in(X0,X2)
      | ~ element(X2,sF49)
      | ~ element(X1,sF47)
      | ~ upper_relstr_subset(X2,sF46)
      | in(X1,X2) ),
    inference(resolution,[],[f3596,f2241]) ).

fof(f9975,plain,
    ! [X2,X0,X1] :
      ( ~ element(X0,sF47)
      | ~ subset(X0,X1)
      | ~ element(X1,sF47)
      | ~ in(X0,X2)
      | ~ element(X2,sF49)
      | ~ upper_relstr_subset(X2,sF46)
      | in(X1,X2) ),
    inference(duplicate_literal_removal,[],[f9968]) ).

fof(f9981,plain,
    ! [X2,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ element(X1,sF47)
      | ~ in(X0,X2)
      | ~ element(X2,sF49)
      | ~ upper_relstr_subset(X2,sF46)
      | in(X1,X2) ),
    inference(forward_subsumption_resolution,[],[f9975,f1453]) ).

fof(f10089,plain,
    ! [X0] :
      ( upper_relstr_subset(X0,sF46)
      | ~ element(X0,sF49)
      | ~ element(X0,sF49)
      | upper_relstr_subset(X0,sF46)
      | in(sK9(sF46,X0),sK43)
      | ~ in(sK8(sF46,X0),sK43)
      | upper_relstr_subset(sK43,sF46) ),
    inference(resolution,[],[f5512,f8428]) ).

fof(f10095,plain,
    ! [X0] :
      ( ~ in(sK8(sF46,X0),sK43)
      | ~ element(X0,sF49)
      | in(sK9(sF46,X0),sK43)
      | upper_relstr_subset(X0,sF46)
      | upper_relstr_subset(sK43,sF46) ),
    inference(duplicate_literal_removal,[],[f10089]) ).

fof(f10097,plain,
    ( ~ element(sK43,sF49)
    | in(sK9(sF46,sK43),sK43)
    | upper_relstr_subset(sK43,sF46)
    | upper_relstr_subset(sK43,sF46)
    | ~ element(sK43,sF49)
    | upper_relstr_subset(sK43,sF46) ),
    inference(resolution,[],[f10095,f1628]) ).

fof(f10100,plain,
    ( ~ element(sK43,sF49)
    | in(sK9(sF46,sK43),sK43)
    | upper_relstr_subset(sK43,sF46) ),
    inference(duplicate_literal_removal,[],[f10097]) ).

fof(f10102,plain,
    ( ~ element(sK43,sF49)
    | upper_relstr_subset(sK43,sF46) ),
    inference(forward_subsumption_resolution,[],[f10100,f1600]) ).

fof(f10104,plain,
    upper_relstr_subset(sK43,sF46),
    inference(forward_subsumption_resolution,[],[f10102,f814]) ).

fof(f10125,plain,
    in(sK44,sK43),
    inference(resolution,[],[f10104,f806]) ).

fof(f10126,plain,
    subset(sK45,sK42),
    inference(resolution,[],[f10104,f805]) ).

fof(f10127,plain,
    subset(sK44,sK45),
    inference(resolution,[],[f10104,f804]) ).

fof(f10128,plain,
    ~ in(sK45,sK43),
    inference(resolution,[],[f10104,f803]) ).

fof(f10164,plain,
    element(sK45,sF47),
    inference(resolution,[],[f10126,f1155]) ).

fof(f52933,plain,
    ! [X0] :
      ( ~ element(sK45,sF47)
      | ~ in(sK44,X0)
      | ~ element(X0,sF49)
      | ~ upper_relstr_subset(X0,sF46)
      | in(sK45,X0) ),
    inference(resolution,[],[f9981,f10127]) ).

fof(f53003,plain,
    ! [X0] :
      ( ~ upper_relstr_subset(X0,sF46)
      | ~ element(X0,sF49)
      | ~ in(sK44,X0)
      | in(sK45,X0) ),
    inference(forward_subsumption_resolution,[],[f52933,f10164]) ).

fof(f53113,plain,
    ( ~ element(sK43,sF49)
    | ~ in(sK44,sK43)
    | in(sK45,sK43) ),
    inference(resolution,[],[f53003,f10104]) ).

fof(f53125,plain,
    ( ~ in(sK44,sK43)
    | in(sK45,sK43) ),
    inference(forward_subsumption_resolution,[],[f53113,f814]) ).

fof(f53136,plain,
    in(sK45,sK43),
    inference(forward_subsumption_resolution,[],[f53125,f10125]) ).

fof(f53146,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f53136,f10128]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SEU381+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39  % Computer : n011.cluster.edu
% 0.12/0.39  % Model    : x86_64 x86_64
% 0.12/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39  % Memory   : 8046.5625MB
% 0.12/0.39  % OS       : Linux 6.8.0-71-generic
% 0.12/0.39  % CPULimit : 300
% 0.12/0.39  % WCLimit  : 300
% 0.12/0.39  % DateTime : Mon Sep 28 05:01:31 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43  Running first-order model finding
% 0.12/0.43  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.65/2.56  % (3027975)Will run a generic schedule for satisfiability detection.
% 14.65/2.56  % (3027983)dis+10_1_sil=32000:sp=arity:random_seed=3575442350:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.65/2.56  % (3027981)% WARNING: option uhcvi not known.
% 14.65/2.56  % (3027982)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3805243503:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.65/2.56  % (3027980)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2294654961_2999 on theBenchmark for (2999ds/0Mi)
% 14.65/2.56  % (3027984)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=637738166:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.65/2.56  % (3027981)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3622478192:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.65/2.56  % (3027985)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3784616757:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.65/2.56  % (3027986)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4197992163:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.65/2.56  % TRYING [1]
% 14.65/2.56  % TRYING [2]
% 14.65/2.56  % TRYING [3]
% 14.65/2.56  % TRYING [4]
% 14.65/2.56  % (3027983)Instruction limit reached! 
% 14.65/2.56  % (3027983)------------------------------
% 14.65/2.56  % (3027983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.56  % (3027983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.56  % (3027983)CaDiCaL version: 2.1.3
% 14.65/2.56  % (3027983)Termination reason: Instruction limit
% 14.65/2.56  % (3027983)Termination phase: Saturation
% 14.65/2.56  % (3027983)Time elapsed: 0.038 s
% 14.65/2.56  % (3027983)Peak memory usage: 13 MB
% 14.65/2.56  % (3027983)Instructions burned: 104 (million)
% 14.65/2.56  % (3027994)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1732655410:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.65/2.56  % TRYING [1]
% 14.65/2.56  % TRYING [5]
% 14.65/2.56  % TRYING [2]
% 14.65/2.56  % TRYING [3]
% 14.65/2.56  % (3027984)Instruction limit reached! 
% 14.65/2.56  % (3027984)------------------------------
% 14.65/2.56  % (3027984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.56  % (3027984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.56  % (3027984)CaDiCaL version: 2.1.3
% 14.65/2.56  % (3027984)Termination reason: Instruction limit
% 14.65/2.56  % (3027984)Termination phase: Saturation
% 14.65/2.56  % (3027984)Time elapsed: 0.069 s
% 14.65/2.56  % (3027984)Peak memory usage: 13 MB
% 14.65/2.56  % (3027984)Instructions burned: 117 (million)
% 14.65/2.56  % TRYING [4]
% 14.65/2.56  % (3027985)Instruction limit reached! 
% 14.65/2.56  % (3027985)------------------------------
% 14.65/2.56  % (3027985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.56  % (3027985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.56  % (3027985)CaDiCaL version: 2.1.3
% 14.65/2.56  % (3027985)Termination reason: Instruction limit
% 14.65/2.56  % (3027985)Termination phase: Saturation
% 14.65/2.56  % (3027985)Time elapsed: 0.077 s
% 14.65/2.56  % (3027985)Peak memory usage: 14 MB
% 14.65/2.56  % (3027985)Instructions burned: 131 (million)
% 14.65/2.56  % (3027996)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=907468812:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.65/2.56  % TRYING [5]
% 14.65/2.56  % (3027986)Instruction limit reached! 
% 14.65/2.56  % (3027986)------------------------------
% 14.65/2.56  % (3027986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.65/2.56  % (3027986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.56  % (3027986)CaDiCaL version: 2.1.3
% 14.65/2.56  % (3027986)Termination reason: Instruction limit
% 14.65/2.56  % (3027986)Termination phase: Saturation
% 14.65/2.56  % (3027986)Time elapsed: 0.096 s
% 14.65/2.56  % (3027986)Peak memory usage: 14 MB
% 14.65/2.56  % (3027986)Instructions burned: 160 (million)
% 14.65/2.56  % (3027997)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1917686318:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.65/2.56  % (3028000)ott-21_1_sil=16000:fs=off:random_seed=1610032933:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.65/2.56  % (3027996)Instruction limit reached! 
% 14.65/2.56  % (3027996)------------------------------
% 14.65/2.56  % (3027996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3027996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3027996)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3027996)Termination reason: Instruction limit
% 44.63/6.89  % (3027996)Termination phase: Saturation
% 44.63/6.89  % (3027996)Time elapsed: 0.080 s
% 44.63/6.89  % (3027996)Peak memory usage: 15 MB
% 44.63/6.89  % (3027996)Instructions burned: 132 (million)
% 44.63/6.89  % (3028002)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1292294597:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 44.63/6.89  % (3028000)Instruction limit reached! 
% 44.63/6.89  % (3028000)------------------------------
% 44.63/6.89  % (3028000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028000)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028000)Termination reason: Instruction limit
% 44.63/6.89  % (3028000)Termination phase: Saturation
% 44.63/6.89  % (3028000)Time elapsed: 0.091 s
% 44.63/6.89  % (3028000)Peak memory usage: 13 MB
% 44.63/6.89  % (3028000)Instructions burned: 182 (million)
% 44.63/6.89  % (3028004)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2851720143:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 44.63/6.89  % TRYING [1]
% 44.63/6.89  % TRYING [2]
% 44.63/6.89  % TRYING [3]
% 44.63/6.89  % (3027994)Instruction limit reached! 
% 44.63/6.89  % (3027994)------------------------------
% 44.63/6.89  % (3027994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3027994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3027994)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3027994)Termination reason: Instruction limit
% 44.63/6.89  % (3027994)Termination phase: Finite model building SAT solving
% 44.63/6.89  % (3027994)Time elapsed: 0.218 s
% 44.63/6.89  % (3027994)Peak memory usage: 19 MB
% 44.63/6.89  % (3027994)Instructions burned: 716 (million)
% 44.63/6.89  % TRYING [4]
% 44.63/6.89  % (3028006)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2531717703:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 44.63/6.89  % TRYING [5]
% 44.63/6.89  % TRYING [6]
% 44.63/6.89  % (3027997)Instruction limit reached! 
% 44.63/6.89  % (3027997)------------------------------
% 44.63/6.89  % (3027997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3027997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3027997)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3027997)Termination reason: Instruction limit
% 44.63/6.89  % (3027997)Termination phase: Saturation
% 44.63/6.89  % (3027997)Time elapsed: 0.389 s
% 44.63/6.89  % (3027997)Peak memory usage: 22 MB
% 44.63/6.89  % (3027997)Instructions burned: 684 (million)
% 44.63/6.89  % (3028008)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2314037132:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 44.63/6.89  % (3028002)Instruction limit reached! 
% 44.63/6.89  % (3028002)------------------------------
% 44.63/6.89  % (3028002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028002)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028002)Termination reason: Instruction limit
% 44.63/6.89  % (3028002)Termination phase: Saturation
% 44.63/6.89  % (3028002)Time elapsed: 0.323 s
% 44.63/6.89  % (3028002)Peak memory usage: 15 MB
% 44.63/6.89  % (3028002)Instructions burned: 478 (million)
% 44.63/6.89  % (3028010)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1676967736:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 44.63/6.89  % TRYING [14]
% 44.63/6.89  % TRYING [6]
% 44.63/6.89  % (3028004)Instruction limit reached! 
% 44.63/6.89  % (3028004)------------------------------
% 44.63/6.89  % (3028004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028004)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028004)Termination reason: Instruction limit
% 44.63/6.89  % (3028004)Termination phase: Finite model building SAT solving
% 44.63/6.89  % (3028004)Time elapsed: 0.374 s
% 44.63/6.89  % (3028004)Peak memory usage: 17 MB
% 44.63/6.89  % (3028004)Instructions burned: 865 (million)
% 44.63/6.89  % (3028012)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=364872012:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 44.63/6.89  % (3028006)Instruction limit reached! 
% 44.63/6.89  % (3028006)------------------------------
% 44.63/6.89  % (3028006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028006)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028006)Termination reason: Instruction limit
% 44.63/6.89  % (3028006)Termination phase: Saturation
% 44.63/6.89  % (3028006)Time elapsed: 0.373 s
% 44.63/6.89  % (3028006)Peak memory usage: 29 MB
% 44.63/6.89  % (3028006)Instructions burned: 1182 (million)
% 44.63/6.89  % (3028014)fmb+10_1_sil=64000:random_seed=1413439818:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 44.63/6.89  % TRYING [1]
% 44.63/6.89  % TRYING [2]
% 44.63/6.89  % TRYING [3]
% 44.63/6.89  % TRYING [4]
% 44.63/6.89  % TRYING [5]
% 44.63/6.89  % TRYING [6]
% 44.63/6.89  % (3028008)Instruction limit reached! 
% 44.63/6.89  % (3028008)------------------------------
% 44.63/6.89  % (3028008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028008)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028008)Termination reason: Instruction limit
% 44.63/6.89  % (3028008)Termination phase: Finite model building constraint generation
% 44.63/6.89  % (3028008)Time elapsed: 0.350 s
% 44.63/6.89  % (3028008)Peak memory usage: 68 MB
% 44.63/6.89  % (3028008)Instructions burned: 891 (million)
% 44.63/6.89  % (3028016)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3447059584:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 44.63/6.89  % TRYING [20]
% 44.63/6.89  % (3028010)Instruction limit reached! 
% 44.63/6.89  % (3028010)------------------------------
% 44.63/6.89  % (3028010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028010)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028010)Termination reason: Instruction limit
% 44.63/6.89  % (3028010)Termination phase: Saturation
% 44.63/6.89  % (3028010)Time elapsed: 0.383 s
% 44.63/6.89  % (3028010)Peak memory usage: 22 MB
% 44.63/6.89  % (3028010)Instructions burned: 692 (million)
% 44.63/6.89  % (3028018)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1795272610:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 44.63/6.89  % TRYING [8]
% 44.63/6.89  % TRYING [7]
% 44.63/6.89  % (3028012)Instruction limit reached! 
% 44.63/6.89  % (3028012)------------------------------
% 44.63/6.89  % (3028012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028012)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028012)Termination reason: Instruction limit
% 44.63/6.89  % (3028012)Termination phase: Saturation
% 44.63/6.89  % (3028012)Time elapsed: 0.486 s
% 44.63/6.89  % (3028012)Peak memory usage: 21 MB
% 44.63/6.89  % (3028012)Instructions burned: 880 (million)
% 44.63/6.89  % (3028020)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3454143964:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 44.63/6.89  % (3028018)Instruction limit reached! 
% 44.63/6.89  % (3028018)------------------------------
% 44.63/6.89  % (3028018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028018)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028018)Termination reason: Instruction limit
% 44.63/6.89  % (3028018)Termination phase: Finite model building SAT solving
% 44.63/6.89  % (3028018)Time elapsed: 0.459 s
% 44.63/6.89  % (3028018)Peak memory usage: 39 MB
% 44.63/6.89  % (3028018)Instructions burned: 921 (million)
% 44.63/6.89  % (3028022)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1260213537:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 44.63/6.89  % (3028022)Instruction limit reached! 
% 44.63/6.89  % (3028022)------------------------------
% 44.63/6.89  % (3028022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028022)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028022)Termination reason: Instruction limit
% 44.63/6.89  % (3028022)Termination phase: Saturation
% 44.63/6.89  % (3028022)Time elapsed: 0.632 s
% 44.63/6.89  % (3028022)Peak memory usage: 22 MB
% 44.63/6.89  % (3028022)Instructions burned: 1474 (million)
% 44.63/6.89  % (3028024)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3374821255:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 44.63/6.89  % TRYING [77]
% 44.63/6.89  % (3028020)Instruction limit reached! 
% 44.63/6.89  % (3028020)------------------------------
% 44.63/6.89  % (3028020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028020)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028020)Termination reason: Instruction limit
% 44.63/6.89  % (3028020)Termination phase: Saturation
% 44.63/6.89  % (3028020)Time elapsed: 2.890 s
% 44.63/6.89  % (3028020)Peak memory usage: 57 MB
% 44.63/6.89  % (3028020)Instructions burned: 5131 (million)
% 44.63/6.89  % (3028026)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3843769077:fmbsr=2.30978:i=2174_2959 on theBenchmark for (2959ds/2174Mi)
% 44.63/6.89  % TRYING [16]
% 44.63/6.89  % (3028024)Instruction limit reached! 
% 44.63/6.89  % (3028024)------------------------------
% 44.63/6.89  % (3028024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028024)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028024)Termination reason: Instruction limit
% 44.63/6.89  % (3028024)Termination phase: Finite model building constraint generation
% 44.63/6.89  % (3028024)Time elapsed: 2.229 s
% 44.63/6.89  % (3028024)Peak memory usage: 423 MB
% 44.63/6.89  % (3028024)Instructions burned: 6326 (million)
% 44.63/6.89  % (3028028)ott-2_1_sil=16000:newcnf=on:random_seed=141349374:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2956 on theBenchmark for (2956ds/869Mi)
% 44.63/6.89  % (3028026)Instruction limit reached! 
% 44.63/6.89  % (3028026)------------------------------
% 44.63/6.89  % (3028026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028026)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028026)Termination reason: Instruction limit
% 44.63/6.89  % (3028026)Termination phase: Finite model building constraint generation
% 44.63/6.89  % (3028026)Time elapsed: 0.754 s
% 44.63/6.89  % (3028026)Peak memory usage: 141 MB
% 44.63/6.89  % (3028026)Instructions burned: 2175 (million)
% 44.63/6.89  % (3028030)ott+10_1_sil=32000:tgt=ground:random_seed=3270487550:i=5114:av=off_2951 on theBenchmark for (2951ds/5114Mi)
% 44.63/6.89  % (3028028)Instruction limit reached! 
% 44.63/6.89  % (3028028)------------------------------
% 44.63/6.89  % (3028028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028028)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028028)Termination reason: Instruction limit
% 44.63/6.89  % (3028028)Termination phase: Saturation
% 44.63/6.89  % (3028028)Time elapsed: 0.537 s
% 44.63/6.89  % (3028028)Peak memory usage: 26 MB
% 44.63/6.89  % (3028028)Instructions burned: 869 (million)
% 44.63/6.89  % (3028032)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3120503641:i=54282_2950 on theBenchmark for (2950ds/54282Mi)
% 44.63/6.89  % TRYING [1]
% 44.63/6.89  % TRYING [2]
% 44.63/6.89  % TRYING [3]
% 44.63/6.89  % TRYING [4]
% 44.63/6.89  % TRYING [5]
% 44.63/6.89  % TRYING [6]
% 44.63/6.89  % (3028016)Instruction limit reached! 
% 44.63/6.89  % (3028016)------------------------------
% 44.63/6.89  % (3028016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028016)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028016)Termination reason: Instruction limit
% 44.63/6.89  % (3028016)Termination phase: Finite model building SAT solving
% 44.63/6.89  % (3028016)Time elapsed: 4.886 s
% 44.63/6.89  % (3028016)Peak memory usage: 579 MB
% 44.63/6.89  % (3028016)Instructions burned: 9517 (million)
% 44.63/6.89  % (3028034)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3948697054:i=3512:aac=none_2941 on theBenchmark for (2941ds/3512Mi)
% 44.63/6.89  % TRYING [7]
% 44.63/6.89  % (3028030) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3027975-3028030"...
% 44.63/6.89  % (3028030)...printing done.
% 44.63/6.89  % (3028030)Refutation found. Thanks to Tanya!
% 44.63/6.89  % SZS status Theorem for theBenchmark
% 44.63/6.89  % SZS output start Proof for theBenchmark
% See solution above
% 44.63/6.89  % (3028030)------------------------------
% 44.63/6.89  % (3028030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 44.63/6.89  % (3028030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.63/6.89  % (3028030)CaDiCaL version: 2.1.3
% 44.63/6.89  % (3028030)Termination reason: Refutation
% 44.63/6.89  % (3028030)Time elapsed: 1.552 s
% 44.63/6.89  % (3028030)Peak memory usage: 33 MB
% 44.63/6.89  % (3028030)Instructions burned: 2561 (million)
% 44.63/6.89  % (3027975)Success in time 6.453 s
% 44.63/6.89  % Vampire exiting
%------------------------------------------------------------------------------